Week 153: Identical Particles

Learning Objectives

• •**Construct** properly symmetrized wavefunctions for bosons and fermions
• •**Apply** the Pauli exclusion principle to determine allowed quantum states
• •**Explain** the spin-statistics theorem and its physical basis
• •**Build** Slater determinants for multi-electron systems
• •**Use** second quantization formalism to represent many-body Hamiltonians
• •**Calculate** the ground state energy of helium using exchange symmetry
• •**Distinguish** direct and exchange integrals in two-electron problems